Ultrasound in Medicine and Biology
Volume 34, Issue 5 , Pages 792-808 , May 2008

Nonlinear Ultrasonic Propagation in Bubbly Liquids: A Numerical Model

  • Christian Vanhille

      Affiliations

    • E.S.C.E.T., Universidad Rey Juan Carlos, Móstoles, Madrid, Spain
    • Corresponding Author InformationAddress correspondence to: Christian Vanhille, E.S.C.E.T. Universidad Rey Juan Carlos. Tulipán, s/n. 28933 Móstoles, Madrid, Spain.
    • ,
  • Cleofé Campos-Pozuelo

      Affiliations

    • Instituto de Acústica, C.S.I.C., Madrid, Spain

Received 8 March 2007 ,Revised 31 October 2007 ,Accepted 6 November 2007.

References 

  1. Bouakaz A, Frigstad S, Tencate FJ, de Jong N. Super harmonic imaging: A new imaging technique for improved contrast detection. Ultrasound Med Biol. 2002;28:59–68
  2. Campos-Pozuelo C, Granger C, Vanhille C, Moussatov A, Dubus B. Experimental and theoretical investigation of the mean acoustic pressure in the cavitation field. Ultrason Sonochem. 2005;12:79–84
  3. Chen J, Zhu Z. Ultrasound attenuation in encapsulated microbubble suspensions: The multiple scattering effects. Ultrasound Med Biol. 2006;6:961–969
  4. Chen W, Chen X, Lu M, Miao G, Wei R. Single bubble sonoluminescence driven by non-simple-harmonic ultrasound. J Acoust Soc Am. 2002;111:2632–2637
  5. Chin CT, Burns PN. Predicting the acoustic response of a microbubble population for contrast imaging in medical ultrasound. Ultrasound Med Biol. 2000;26:1293–1300
  6. Church CC, Carstensen EL. Stable inertial cavitation. Ultrasound Med Biol. 2006;27:1435–1437
  7. Commander KW, Prosperetti A. Linear pressure waves in bubbly liquids: Comparison between theory and experiments. J Acoust Soc Am. 1989;85:732–746
  8. Enflo BO, Hedberg CM. Theory of Nonlinear Acoustics in Fluids. Dordrecht: Kluwer Academic Publishers; 2002;
  9. Forsberg F, Basude R, Liu JB, Alessandro J, Shi WT, Rawool NM, et al. Effect of filling gases on the backscatter from contrast microbubbles: Theory and in vivo measurements. Ultrasound Med Biol. 1999;25:1203–1211
  10. Fong SW, Klaseboer E, Turangan CK, Khoo BC, Hung KC. Numerical analysis of a gas bubble near bio-materials in an ultrasound field. Ultrasound Med Biol. 2006;32:925–942
  11. In:  Hamilton MF,  Blackstock DT editor. Nonlinear Acoustics. San Diego: Academic Press; 1998;
  12. Ilinskii YA, Zabolotskaya EA. Cooperative radiation and scattering of acoustic waves by gas bubbles in liquids. J Acoust Soc Am. 1992;92:2837–2841
  13. Jordan PM, Feuillade C. On the propagation of harmonic acoustic waves in bubbly liquids. Int J Eng Sci. 2004;42:1119–1128
  14. Jordan PM, Feuillade C. On the propagation of transient acoustic waves in isothermal bubbly liquids. Phys Lett A. 2006;350:56–62
  15. Kargl SG. Effective medium approach to linear acoustic in bubbly liquids. J Acoust Soc Am. 2002;111:168–173
  16. Karpov S, Prosperetti A, Ostrovsky L. Nonlinear wave interactions in bubble layers. J Acoust Soc Am. 2003;113:1304–1316
  17. Kviklienè A, Jurkonis R, Ressner M, Hoff L, Jansson T, Janerot-Sjöberg B, et al. Modelling of nonlinear effects and the response of ultrasound contrast micro bubbles: Simulation and experiment. Ultrasonics. 2004;42:301–307
  18. Lauterborn W. Numerical investigation of nonlinear oscillations of gas bubbles in liquids. J Acoust Soc Am. 1976;59:283–293
  19. Leseduarte MC, Quintanilla R. Some properties of solutions of the system governing acoustic waves in bubbly liquids. Int J Eng Sci. 2006;44:1146–1155
  20. Lo AH, Kripfgans OD, Carson PL, Fowlkes JB. Spatial control of gas bubbles and their effects on acoustic fields. Ultrasound Med Biol. 2006;32:95–106
  21. Ma J, Yu J, Fan Z, Zhu Z, Gong X, Du G. Acoustic nonlinearity of liquid containing encapsulated microbubbles. J Acoust Soc Am. 2004;116:186–193
  22. Matsumoto Y, Allen JS, Yoshizawa S, Ikeda T, Kaneko T. Medical ultrasound with microbubbles. Exp Thermal Fluid Sci. 2005;29:255–265
  23. Naugolnykh K, Ostrovsky L. Nonlinear Wave Processes in Acoustics. Cambridge: Cambridge University Press; 1998;
  24. Ng KC, Ting L. Wave propagation through a thin bubbly layer. J Acoust Soc Am. 1998;79:924–926
  25. Pichardo S, Angel YC, Curiel L, Chavrier F, Cathignol D, Chapelon JY. Quasi-linear sound propagation in the presence of cavitation bubbles for predicting HIFU biological lesions. In: IEEE Ultrasonics Symposium;1993–1996. 2002;
  26. Postema M, Marmottant P, Lancée CT, Hilgenfeldt S, Jong N. Ultrasound-induced microbubble coalescence. Ultrasound Med Biol. 2004;30:1337–1344
  27. Proyecto CICYT (DPI2005–00894). Estudio y caracterización numérico-experimental de fenómenos y efectos ultrasónicos no-lineales para el desarrollo de procesos industriales en medios multifásicos. .
  28. Stride E, Saffari N. Investigating the significance of multiple scattering in ultrasound contrast agent particle populations. IEEE Trans Ultrason Ferroelectr Freq Control. 2005;52:2332–2345
  29. Sutin AM, Yoon SW, Kim EJ, Didenkulov IN. Nonlinear acoustic method for bubble density measurements in water. J Acoust Soc Am. 1998;103:2377–2384
  30. Vanhille C, Campos-Pozuelo C. A numerical formulation for nonlinear ultrasonic waves propagation in fluids. Ultrasonics. 2004;42:1123–1128
  31. Vanhille C, Lavie A, Campos-Pozuelo C. Modélisation Numérique en Mécanique : Introduction et mise en pratique. Paris: Hermès-Lavoisier; 2007;
  32. Van Wijngaarden L. On the equations of motion for mixtures of liquid and gas bubbles. J Fluid Mech. 1968;33:465–474
  33. Zabolotskaya EA, Soluyan SI. Emission of harmonic and combination-frequency waves by air bubbles. Sov Phys Acoust. 1973;18:396–398
  34. Zabolotskaya EA. Acoustic second-harmonic generation in a liquid containing uniformly distributed air-bubbles. Sov Phys Acoust. 1974;21:569–571
  35. Zhang D, Gong XF, Liu JH, Shao LZ, Li XR, Zhang QL. The experimental investigation of ultrasonic properties for a sonicated contrast agent and its application in biomedicine. Ultrasound Med Biol. 2000;26:347–351

PII: S0301-5629(07)00564-9

doi: 10.1016/j.ultrasmedbio.2007.11.004

Ultrasound in Medicine and Biology
Volume 34, Issue 5 , Pages 792-808 , May 2008

Article Tools

* Image Usage & Resolution